清空筛选条件
清空筛选条件

Fin heat transfer Matrix

3 次查看（过去 30 天）
Yogesh Bhambhwani
Yogesh Bhambhwani 2020-12-16
编辑： Alan Stevens 2020-12-17
I need help solving this matrix with the equations given to me:
For the first node: T_1 = T_b
for the internal nodes: (T_2,T_3,T_4) = -T_i-1 +(2+(mdeltax)^2)T_i - Ti+1 = (mdeltax)^2T_inf
for the 5th node: -T_4 + (1+((mdeltax)^2/2))T_5 = ((mdeltax)^2/2)T_inf
where m = sqrt((hp)/(KA_c))
T_inf = 900 degrees celsius
T_b = 400 degress celsius
also have to compare the matrix solution to:
T_analytic = (cosh(m(L-x))/cosh(mL))*(T_b-T_inf)+T_inf
I need some help with the matrix solution.
  1 个评论
Ive J
Ive J 2020-12-17
Share with us what you've tried so far and clearly explain how do you want to solve this heat transfer equation in particular?

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

Alan Stevens
Alan Stevens 2020-12-17
编辑：Alan Stevens 2020-12-17
% Construct the matrix
% M = [ 1 0 0 0 0;
% -1 (2+(m*dx)^2) -1 0 0;
% 0 -1 (2+(m*dx)^2) -1 0;
% 0 0 -1 (2+(m*dx)^2) -1;
% 0 0 0 -1 (2+(m*dx)^2)/2];
%
% and the column vector
% K = [T_b;
% (m*dx)^2*T_inf;
% (m*dx)^2*T_inf;
% (m*dx)^2*T_inf;
% (m*dx)^2/2*T_inf];
%
% then you have the matrix equation M*T = K
% where T is a column vector of values of T_1; T_2 ...T_5
% and you can solve for T using T = M\K (notice the backslash
% not forward slash)

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Ceramics 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by